Q21Basic Electrical Engineering

Superposition Theorem Statement: The Superposition Theorem is a fundamental principle for analyzing complex linear, bilateral electrical networks containing more than one independent power source (voltage or current). It formally states that the total electrical response (either current flowing through or voltage dropped across) in any specific branch of a bilateral linear circuit is exactly equal to the algebraic sum of the individual independent responses produced by each independent source acting completely alone.

Procedure for Application: To determine the individual contribution of a single source, all other independent sources must be temporarily removed (deactivated) from the network. - Ideal Voltage Sources are replaced by short circuits (creating a 0V potential difference). - Ideal Current Sources are replaced by open circuits (preventing any current flow). - The internal resistance of the sources, if any are specified, must be left in the circuit. This procedure is repeated meticulously for every single source in the network. Finally, the individual currents or voltages calculated for the target branch are algebraically summed (paying strict attention to current direction or voltage polarity) to find the final, true value.

(Note: As the specific schematic diagram 'Fig. 2' is not provided in the prompt text, a generic numerical solution cannot be computed. However, the exact application would involve drawing the sub-circuit with Source 1 active, calculating $I^{\prime }$, then drawing the sub-circuit with Source 2 active, calculating $I^{\prime \prime }$, and the final current $I=I^{\prime }+I^{\prime \prime }$.)